Atkin-Lehner |
2+ 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010h |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-640720740074258160 = -1 · 24 · 311 · 5 · 196 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,136620,-33281280] |
[a1,a2,a3,a4,a6] |
j |
386845223361981119/878903621501040 |
j-invariant |
L |
1.195071629744 |
L(r)(E,1)/r! |
Ω |
0.14938395383375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670x1 |
Quadratic twists by: -3 |